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Finding the Fourth Proportional to 29,222, 40,326.36 and 16,646.75

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Solution

The fourth proportional to 29,222, 40,326.36 and 16,646.75 is: 22,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,222 : 40,326.36 = 16,646.75 : x
  2. Step 2: Convert to fraction form
    29,222/40,326.36 = 16,646.75/x
  3. Step 3: Cross multiply
    29,222x = 40,326.36 × 16,646.75
  4. Step 4: Simplify right side
    29,222x = 671,302,833.33
  5. Step 5: Solve for x
    x = 671,302,833.33/29,222
  6. Step 6: Final answer
    x = 22,972.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.